Set approach for set optimization with variable ordering structures. II: Scalarization approaches

DOI10.1007/s10957-016-0993-zzbMath1354.49036OpenAlexW2507472311MaRDI QIDQ504808

Maria Pilecka, Gabriele Eichfelder

Publication date: 17 January 2017

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-016-0993-z

zbMATH Keywords

scalarizationset optimizationset relationvariable ordering structure

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60)

Related Items (10)

A first bibliography on set and vector optimization problems with respect to variable domination structures ⋮ A Hausdorff-type distance, the Clarke generalized directional derivative and applications in set optimization problems ⋮ Characterizations of set relations with respect to variable domination structures via oriented distance function ⋮ Twenty years of continuous multiobjective optimization in the twenty-first century ⋮ Unnamed Item ⋮ Set approach for set optimization with variable ordering structures. I: Set relations and relationship to vector approach ⋮ A generalized scalarization method in set optimization with respect to variable domination structures ⋮ Unifying local-global type properties in vector optimization ⋮ Two Set Scalarizations Based on the Oriented Distance with Variable Ordering Structures: Properties and Application to Set Optimization ⋮ Methods for Multiobjective Bilevel Optimization

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